AbstractWe discuss the notions of path homology and homotopy of digraphs. The following topic will bepresented.. Homology groups of digraphs.. Homotopy of digraph maps and digraphs. lnvariance of homology groups under homotopy.Fundamental group of a digraph. Invariance of the fundamental group under homotopy.Relation between the fundamental group and first homology group.Speaker IntroProfessor ...
AbstractPersistent homology provides essential topological insights into datasets, representing eachtopological feature with an interval whose length, known as the feature's lifetime, represents itspersistence. Features with short lifetimes are typically regarded as noise, while those with longellifetimes are considered meaningful characteristics of the dataset. We introduce a novel filteringme...
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